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Finding the Fourth Proportional to 10,688.62, 14,754.42 and 9,567.58

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Solution

The fourth proportional to 10,688.62, 14,754.42 and 9,567.58 is: 13,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.62 : 14,754.42 = 9,567.58 : x
  2. Step 2: Convert to fraction form
    10,688.62/14,754.42 = 9,567.58/x
  3. Step 3: Cross multiply
    10,688.62x = 14,754.42 × 9,567.58
  4. Step 4: Simplify right side
    10,688.62x = 141,164,093.70
  5. Step 5: Solve for x
    x = 141,164,093.70/10,688.62
  6. Step 6: Final answer
    x = 13,206.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.